FrnnaCs Last Theorem started. Theory of ideal numbers.
Summer's indention comparable to Lobatchwshjs. Wave
surface in four dimensions. Big of body, mind, and heart.
Ded&ind, tof pupil of Gauss. lirst expositor of Galois.
Early interest in science. Turns to mathematics. Dede-
linfs rcori on continuity. His creation of the theory of
£S. THE LAST UNIVERSALIST 580
Psinc&res wivcTsalUy and methods. Childhood setbacks.
Seizfd by mlhmatics. Keeps his sanity in Franco-Prus-
sian war. Starts as mining engineer. First great work,
Automrphic functions, 'The keys of the algebraic cosmos.'
The problem of n todies. Is Finknd civilized? Poincw£&
near mrtfcods in celestial mechanics. Cosmogony. How
mathematical discoveries are made. Poincarfs account.
Foretodings and premature death.
29. PARADISE LOST? 612
Old foes with ««2 faces. Rotting creeds. Cantor's artistic
inheritance and father-fixation. Escape, tut too Me. His
rKolutionary work gets him msefare* Academic pettiness.
Disastrous consequences of 'safety first*. An epochal result.
Paradox or truth? Infinite existence of transcendtntals.
AggMssfaenesa advances, timidity retires. Further specta-
cular daim. Two types of nwztottrfuJtans. Insane?
Counttr-moluim, The 608fe grws fiercer. Curving ike
tnmy> Vntemal loss of temper. Where stands mathe*
inolm to-day? Axdwhere wiU it stand to-morrow? Inmctus*
TO VOLUMES ONE AND Two 640